3332040000000 has 320 divisors, whose sum is σ = 11096324718336. Its totient is φ = 888512000000.

The previous prime is 3332039999989. The next prime is 3332040000007. The reversal of 3332040000000 is 402333.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3332040000000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3332040000007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119986117 + ... + 120013883.

Almost surely, 2^{3332040000000} is an apocalyptic number.

3332040000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3332040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5548162359168).

3332040000000 is an abundant number, since it is smaller than the sum of its proper divisors (7764284718336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3332040000000 is an frugal number, since it uses more digits than its factorization.

3332040000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27823 (or 27777 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 3332040000000 its reverse (402333), we get a palindrome (3332040402333).

The spelling of 3332040000000 in words is "three trillion, three hundred thirty-two billion, forty million", and thus it is an aban number.